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Finding the Fourth Proportional to 309,503.34, 464,255.15 and 204,297.71

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Solution

The fourth proportional to 309,503.34, 464,255.15 and 204,297.71 is: 306,446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,503.34 : 464,255.15 = 204,297.71 : x
  2. Step 2: Convert to fraction form
    309,503.34/464,255.15 = 204,297.71/x
  3. Step 3: Cross multiply
    309,503.34x = 464,255.15 × 204,297.71
  4. Step 4: Simplify right side
    309,503.34x = 94,846,260,657.94
  5. Step 5: Solve for x
    x = 94,846,260,657.94/309,503.34
  6. Step 6: Final answer
    x = 306,446.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.